540414593 has 2 divisors, whose sum is σ = 540414594. Its totient is φ = 540414592.

The previous prime is 540414569. The next prime is 540414607. The reversal of 540414593 is 395414045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 467943424 + 72471169 = 21632^2 + 8513^2 .

It is a cyclic number.

It is not a de Polignac number, because 540414593 - 2²⁸ = 271979137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (540414533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270207296 + 270207297.

It is an arithmetic number, because the mean of its divisors is an integer number (270207297).

Almost surely, 2^540414593 is an apocalyptic number.

It is an amenable number.

540414593 is a deficient number, since it is larger than the sum of its proper divisors (1).

540414593 is an equidigital number, since it uses as much as digits as its factorization.

540414593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 540414593 is about 23246.8189866915. The cubic root of 540414593 is about 814.5336351001.

The spelling of 540414593 in words is "five hundred forty million, four hundred fourteen thousand, five hundred ninety-three".